just do (iii) and fast please (b) Company XYZ produces concrete piles with breaking strength of each pileknown to follow normal distribution with mean 28.4 N/m? and standarddeviation 2.95 N/m?. The manufacturer prefers that at least 96% of hisproducts comply a strength requirement of more than 24.0 N/m?.(i)Do the concrete piles meet the specification? Explain your answer.By improved manufacturing techniques, the manufacturer can make theconcrete piles more uniform (that is, decrease the standard deviation).What value of the standard deviation will just meet the specification if themean stays the same?(ii)(ii)If there are a total of 100 concrete piles, what is the probability that 80concrete piles are stronger than 24 N/m??

Binomial distribution, and standard normal dist are applicable to solve the (iii) part

Answered: (iii) If there are a total of 100…

(iii) If there are a total of 100 concrete piles, what is the probability that 80 concrete piles are stronger than 24 N/m??

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

just do (iii) and fast please

(b) Company XYZ produces concrete piles with breaking strength of each pile
known to follow normal distribution with mean 28.4 N/m? and standard
deviation 2.95 N/m?. The manufacturer prefers that at least 96% of his
products comply a strength requirement of more than 24.0 N/m?.
(i)
Do the concrete piles meet the specification? Explain your answer.
By improved manufacturing techniques, the manufacturer can make the
concrete piles more uniform (that is, decrease the standard deviation).
What value of the standard deviation will just meet the specification if the
mean stays the same?
(ii)
(ii)
If there are a total of 100 concrete piles, what is the probability that 80
concrete piles are stronger than 24 N/m??

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